Maths Olympiad Prep

Library /PMO National Stage Oral Phase

PMO National Stage Oral Phase

21 problems here, rated 3.6 to 4.9 on our scale (AMC 10/12 to AIME). 12 of them ask for a proof.

Algebra 8Combinatorics 2Geometry 5Number theory 6
#TopicDiffTypeYear
1 Number theory 3.6 answer — open
2 Combinatorics 3.6 answer — open
3 Algebra 3.8 answer — open
4 Number theory 3.9 answer — open
5 Number theory 3.9 answer — open
6 Algebra 4.0 answer — open
7 Geometry 4.4 proof — open
8 Algebra 4.4 proof — open
9 Number theory 4.5 answer — open
10 Algebra 4.5 proof — open
11 Geometry 4.7 proof — open
12 Number theory 4.7 answer — open
13 Geometry 4.7 proof — open
14 Geometry 4.7 answer — open
15 Algebra 4.7 proof — open
16 Geometry 4.8 proof — open
17 Algebra 4.8 proof — open
18 Algebra 4.8 proof — open
19 Algebra 4.8 proof — open
20 Number theory 4.9 proof — open
21 Combinatorics 4.9 proof — open
These are sorted by difficulty within the competition, but they aren't a course. The track is the route through, drawn from all the sources at once.